9

Set 1: Trigonometry (Advanced)

Explanation

Answer: B

PROBLEM

If sin(theta) = 6/10 and theta is in the first quadrant, find cos(theta).

If sin(theta) = 6/10 and theta is in the first quadrant, find cos(theta).

A.

10/8

B.

8/10

✓ Correct
C.

6/8

D.

6/10

Detailed Explanation

Choice B is the best answer. cos squared = 1 - sin squared = 1 - 36/100 = 64/100. cos = 8/10

Why others are wrong:
A: 10/8 is incorrect because it does not satisfy the equation.
C: 6/8 is incorrect because it does not satisfy the equation.
D: 6/10 is incorrect because it does not satisfy the equation.